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Finding the Fourth Proportional to 143.42, 213.87 and 132.20

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Solution

The fourth proportional to 143.42, 213.87 and 132.20 is: 197.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.42 : 213.87 = 132.20 : x
  2. Step 2: Convert to fraction form
    143.42/213.87 = 132.20/x
  3. Step 3: Cross multiply
    143.42x = 213.87 × 132.20
  4. Step 4: Simplify right side
    143.42x = 28,273.61
  5. Step 5: Solve for x
    x = 28,273.61/143.42
  6. Step 6: Final answer
    x = 197.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.